Traveling Wave Solutions of Reaction-Diffusion Equations Arising in Atherosclerosis Models

Narcisa Apreutesei

doi:10.3390/math2020083

Traveling Wave Solutions of Reaction-Diffusion Equations Arising in Atherosclerosis Models

Mathematics ◽

10.3390/math2020083 ◽

2014 ◽

Vol 2 (2) ◽

pp. 83-95

Author(s):

Narcisa Apreutesei

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions

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Generalized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.012 ◽

2019 ◽

Vol 90 ◽

pp. 49-53 ◽

Cited By ~ 9

Author(s):

Andrei D. Polyanin

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Nonlinear Reaction ◽

Equations With Delay

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Traveling wave solutions of multistable reaction-diffusion equations

Nonlinear partial differential equations - Contemporary Mathematics ◽

10.1090/conm/017/706110 ◽

1983 ◽

pp. 361-378 ◽

Cited By ~ 1

Author(s):

David Terman

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions

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Traveling wave solutions to some reaction diffusion equations with fractional Laplacians

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-014-0785-y ◽

2014 ◽

Vol 54 (1) ◽

pp. 251-273 ◽

Cited By ~ 7

Author(s):

Changfeng Gui ◽

Tingting Huan

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions

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Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2011.05.003 ◽

2011 ◽

Vol 28 (4) ◽

pp. 471-483 ◽

Cited By ~ 20

Author(s):

Mathew A. Johnson ◽

Kevin Zumbrun

Keyword(s):

Nonlinear Stability ◽

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Spatially Periodic ◽

Periodic Traveling Wave

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Stability analysis of traveling wave solutions for lattice reaction-diffusion equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020001 ◽

2020 ◽

Vol 25 (5) ◽

pp. 1757-1774 ◽

Cited By ~ 1

Author(s):

Cheng-Hsiung Hsu ◽

◽

Jian-Jhong Lin ◽

Keyword(s):

Stability Analysis ◽

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions

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Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2006.15.681 ◽

2006 ◽

Vol 15 (2) ◽

pp. 681-701 ◽

Cited By ~ 23

Author(s):

Xiaojie Hou ◽

◽

Yi Li ◽

Keyword(s):

Traveling Wave ◽

Local Stability ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Nonlinear Reaction

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Nonlinear estimates for traveling wave solutions of reaction diffusion equations

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-020-00420-4 ◽

2020 ◽

Vol 37 (3) ◽

pp. 819-830

Author(s):

Li-Chang Hung ◽

Xian Liao

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions

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Existence of traveling wave solutions of a kind of reaction-diffusion equations with delays

2013 Sixth International Conference on Advanced Computational Intelligence (ICACI) ◽

10.1109/icaci.2013.6748534 ◽

2013 ◽

Author(s):

Zhiguo Yang

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions

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Traveling Wave Solutions to Reaction-Diffusion Equations based on the Lambert W Function

Biophysical Journal ◽

10.1016/j.bpj.2014.11.2577 ◽

2015 ◽

Vol 108 (2) ◽

pp. 471a

Author(s):

Brian W. Williams

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Lambert W Function ◽

Wave Solutions

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Nonlinear delay reaction–diffusion equations: Traveling-wave solutions in elementary functions

Applied Mathematics Letters ◽

10.1016/j.aml.2015.01.023 ◽

2015 ◽

Vol 46 ◽

pp. 38-43 ◽

Cited By ~ 12

Author(s):

Andrei D. Polyanin ◽

Vsevolod G. Sorokin

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Elementary Functions ◽

Wave Solutions ◽

Nonlinear Delay

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